We establish short-time existence of bounded, smooth non-negative solutions to a multi-species advection diffusion equation for a wide class of singular interaction kernels. We also give conditions on the interaction matrix, whose coefficients determine species attraction or repulsion, which ensure global existence of solutions.
No takes yet. Share an insight, caveat, or question.
Cozzi et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: